Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680dl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.2432940281332E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33678401,-21583501599] |
[a1,a2,a3,a4,a6] |
Generators |
[-810963:87793984:729] |
Generators of the group modulo torsion |
j |
16115292555782480096401/8557487595112640625 |
j-invariant |
L |
4.678047963525 |
L(r)(E,1)/r! |
Ω |
0.066563195677837 |
Real period |
R |
8.7849746471071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000153575 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680cm2 31920bu2 |
Quadratic twists by: -4 8 |